11 citations · 22 across the 9 of their papers we have counts for
9 papers
On Rota-Baxter and Nijenhuis anti-flexible algebras
Mafoya Landry Dassoundo
We define and derive basic properties of the notion of Rota-Baxter operator on anti-flexible algebra. Starting from a Rota-Baxter operator on an anti-flexible algebra, we construct…
Nearly associative and nearly Hom-associative algebras and bialgebras
Mafoya Landry Dassoundo, Sergei Silvestrov
Basic definitions and properties of nearly associative algebras are described. Nearly associative algebras are proved to be Lie-admissible algebras. Two-dimensional nearly associat…
Relative (pre-)anti-flexible algebras and associated algebraic structures
Mafoya Landry Dassoundo
Pre-anti-flexible family algebras are introduced and linked with the notions of relative anti-flexible algebras, left and right pre-Lie family algebras and relative Lie algebras wh…
Pre-anti-flexible bialgebra
Mafoya Landry Dassoundo
In this paper, we derive pre-anti-flexible algebras structures in term of zero weight's Rota-Baxter operators defined on anti-flexible algebras, view pre-anti-flexible algebras as…
Anti-flexible bialgebras
Mafoya Landry Dassoundo, Chengming Bai, Mahouton Norbert Hounkonnou
We establish a bialgebra theory for anti-flexible algebras in this paper. We introduce the notion of an anti-flexible bialgebra which is equivalent to a Manin triple of anti-flexib…
Zinbiel algebras and bialgebras: main properties and related algebraic structures
Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo
This work provides a characterization of left and right Zinbiel algebras.Basic identities are established and discussed, showing that Zinbiel algebras are center-symmetric, and the…
Hom-center-symmetric algebras and bialgebras
Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo
In this work, the hom-center-symmetric algebras are constructed and discussed. Their bimodules, dual bimodules and matched pairs are defined. The relation between the dual bimodule…
q-generalized (anti -) flexible algebras and bialgebras
Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo
In this work, we provide a q-generalization of flexible algebras and related bialgebraic structures, including center-symmetric (also called antiflexible) algebras, and their bialg…
Center-symmetric algebras and bialgebras: relevant properties and consequences
Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo
Lie admissible algebra structures, called center-symmetric algebras, are defined. Main properties and algebraic consequences are derived and discussed. Bimodules are given and used…